Eulerian framework for contact between solids represented as phase fields

DOI10.1016/j.cma.2023.116497arXiv2308.09524OpenAlexW4387418485MaRDI QIDQ6118557

Mohit Pundir, Flavio Lorez, David S. Kammer

Publication date: 21 March 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.09524

zbMATH Keywords

phase-field modelEulerian formulationcontact mechanics

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Cites Work

• Unnamed Item
• Sharp interface tracking using the phase-field equation
• The variational approach to fracture
• Solving PDEs in complex geometries: a diffuse domain approach
• Volume of fluid (VOF) method for the dynamics of free boundaries
• A mixture theory for contact in multi-material Eulerian formulations
• A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows
• A multi-material Eulerian formulation for the efficient solution of impact and penetration problems
• A phase-field model for fluid-structure interaction
• A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows
• A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids
• Contact in a multi-material Eulerian finite element formulation
• An interface and geometry preserving phase-field method for fully Eulerian fluid-structure interaction
• DOLFIN
• Automation of finite element formulations for large deformation contact problems
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• The phase field method for geometric moving interfaces and their numerical approximations
• Reference map technique for incompressible fluid–structure interaction
• Contact Mechanics
• Phase Field Models for Two-Phase Flow with Surfactants and Biomembranes
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Computational Contact Mechanics
• An Eulerian approach to fluid–structure interaction and goal‐oriented mesh adaptation
• The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets

This page was built for publication: Eulerian framework for contact between solids represented as phase fields